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Volume 28, Issue 4
Existence and Uniqueness of Positive Radial Solutions for a Class of Quasilinear Elliptic Systems

Qin Li & Zuodong Yang

DOI: 10.4208/jpde.v28.n4.6

J. Part. Diff. Eq., 28 (2015), pp. 370-382.

Published online: 2015-12

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  • Abstract
This article is concerned with the existence and uniqueness of positive radial solutions for a class of quasilinear elliptic system. With some reasonable assumptions on the nonlinear source functions and their coefficients, the existence and the upper and lower bounds of the positive solutions will be provided by using the fixed point theorem and the maximum principle for the quasilinear elliptic system.
  • Keywords

Quasilinear elliptic equation (system) existence uniqueness fixed point theorem the maximum principle

  • AMS Subject Headings

35B30, 35J65, 35J92

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

zdyang_jin@263.net (Zuodong Yang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-28-370, author = {Li , Qin and Yang , Zuodong}, title = {Existence and Uniqueness of Positive Radial Solutions for a Class of Quasilinear Elliptic Systems}, journal = {Journal of Partial Differential Equations}, year = {2015}, volume = {28}, number = {4}, pages = {370--382}, abstract = { This article is concerned with the existence and uniqueness of positive radial solutions for a class of quasilinear elliptic system. With some reasonable assumptions on the nonlinear source functions and their coefficients, the existence and the upper and lower bounds of the positive solutions will be provided by using the fixed point theorem and the maximum principle for the quasilinear elliptic system.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v28.n4.6}, url = {http://global-sci.org/intro/article_detail/jpde/5122.html} }
TY - JOUR T1 - Existence and Uniqueness of Positive Radial Solutions for a Class of Quasilinear Elliptic Systems AU - Li , Qin AU - Yang , Zuodong JO - Journal of Partial Differential Equations VL - 4 SP - 370 EP - 382 PY - 2015 DA - 2015/12 SN - 28 DO - http://doi.org/10.4208/jpde.v28.n4.6 UR - https://global-sci.org/intro/article_detail/jpde/5122.html KW - Quasilinear elliptic equation (system) KW - existence KW - uniqueness KW - fixed point theorem KW - the maximum principle AB - This article is concerned with the existence and uniqueness of positive radial solutions for a class of quasilinear elliptic system. With some reasonable assumptions on the nonlinear source functions and their coefficients, the existence and the upper and lower bounds of the positive solutions will be provided by using the fixed point theorem and the maximum principle for the quasilinear elliptic system.
Li , Qin and Yang , Zuodong. (2015). Existence and Uniqueness of Positive Radial Solutions for a Class of Quasilinear Elliptic Systems. Journal of Partial Differential Equations. 28 (4). 370-382. doi:10.4208/jpde.v28.n4.6
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